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4192043427 = 32112133753151
BaseRepresentation
bin1111100111011101…
…1000000110100011
3101211011001212111200
43321313120012203
532041130342202
61531550012243
7205611531645
oct37167300643
911734055450
104192043427
111861332300
1298baa7083
1351a651290
142baa64895
1519805be1c
hexf9dd81a3

4192043427 has 144 divisors (see below), whose sum is σ = 7549948224. Its totient is φ = 2223936000.

The previous prime is 4192043419. The next prime is 4192043459. The reversal of 4192043427 is 7243402914.

4192043427 is a `hidden beast` number, since 4 + 192 + 0 + 43 + 427 = 666.

It is not a de Polignac number, because 4192043427 - 23 = 4192043419 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4192043391 and 4192043400.

It is not an unprimeable number, because it can be changed into a prime (4192043407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27761802 + ... + 27761952.

It is an arithmetic number, because the mean of its divisors is an integer number (52430196).

Almost surely, 24192043427 is an apocalyptic number.

4192043427 is a deficient number, since it is larger than the sum of its proper divisors (3357904797).

4192043427 is a wasteful number, since it uses less digits than its factorization.

4192043427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4192043427 is about 64745.9915902135. The cubic root of 4192043427 is about 1612.4091636590.

The spelling of 4192043427 in words is "four billion, one hundred ninety-two million, forty-three thousand, four hundred twenty-seven".

Divisors: 1 3 9 11 13 33 37 39 53 99 111 117 121 143 151 159 333 363 407 429 453 477 481 583 689 1089 1221 1287 1359 1443 1573 1661 1749 1961 1963 2067 3663 4329 4477 4719 4983 5247 5291 5587 5883 5889 6201 6413 7579 8003 13431 14157 14949 15873 16761 17649 17667 18271 19239 21571 21593 22737 24009 25493 40293 47619 50283 54813 57717 58201 61457 64713 64779 68211 72027 72631 76479 83369 88033 104039 164439 174603 184371 194139 194337 217893 229437 237281 237523 250107 264099 280423 296111 312117 523809 553113 653679 676027 711843 712569 750321 792297 798941 841269 888333 936351 968363 1144429 2028081 2135529 2137707 2396823 2523807 2664999 2905089 3084653 3257221 3433287 3849443 6084243 7190469 8715267 8788351 9253959 9771663 10299861 11548329 12588719 26365053 27761877 29314989 34644987 35829431 37766157 42343873 79095159 107488293 113298471 127031619 322464879 381094857 465782603 1397347809 4192043427